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Journal of Physics B Atomic Molecular and Optical Physics

Model above-threshold photodetachment spectra

Andrzej Raczyński, Jarosław Zaremba

Published Dec 14, 1993• 3 citations
Publisher

Abstract

Model photodetachment spectra are calculated analytically for a system including an infinite number of circular states. Characteristic features of the ATD spectra are derived and interpreted based on the properties of continued fractions. Numerical results confirm a typical regular multipeak structure of the total spectra as well as of the spectra corresponding to a given net number of photons absorbed. For extremely strong fields the peaks become closer and the lines overlap.

DOI
10.1088/0953-4075/26/23/015

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Model photodetachment spectra are calculated analytically for a system including an infinite number of circular states. Characteristic features of the ATD spectra are derived and interpreted based on the properties of continued fractions. Numerical results confirm a typical regular multipeak structure of the total spectra as well as of the spectra corresponding to a given net number of photons absorbed. For extremely strong fields the peaks become closer and the lines overlap.
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A simple analytic formula for the photodetachment cross section of ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$ in an electric field is derived. The formula becomes identical to a formula derived many years ago in the vanishing-field limit. Three special features appear in the cross section in the presence of an electric field: a quantum tunneling effect, a new threshold law, and oscillations. These appear when the photon energy is, respectively, less than, equal to, or greater than the binding energy of ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$. Enough information is provided in this paper so that one can calculate the cross section quickly.